三维可压缩 Navier-Stokes-Allen-Cahn 系统的全局适定性与衰减估计
偏微分方程分析
2021-03-23 v3
摘要
我们通过精细的纯能量方法研究三维可压缩 Navier-Stokes-Allen-Cahn 方程柯西问题的小数据全局适定性及解的时间衰减率。特别地，我们得到了解的高阶空间导数的最优衰减率，并证明了 () 负 Sobolev 范数沿时间演化保持并获得增强的衰减率。
引用
@article{arxiv.1910.09432,
title = {Global well-posedness and decay estimates for three-dimensional compressible Navier-Stokes-Allen-Cahn system},
author = {Xiaopeng Zhao},
journal= {arXiv preprint arXiv:1910.09432},
year = {2021}
}
备注
28pages, 0 figure. arXiv admin note: text overlap with arXiv:1910.07904 and text overlap with arXiv:1112.4902 by other authors